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Finding the Fourth Proportional to 2,146.32, 3,217.14 and 846.36

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Solution

The fourth proportional to 2,146.32, 3,217.14 and 846.36 is: 1,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.32 : 3,217.14 = 846.36 : x
  2. Step 2: Convert to fraction form
    2,146.32/3,217.14 = 846.36/x
  3. Step 3: Cross multiply
    2,146.32x = 3,217.14 × 846.36
  4. Step 4: Simplify right side
    2,146.32x = 2,722,858.61
  5. Step 5: Solve for x
    x = 2,722,858.61/2,146.32
  6. Step 6: Final answer
    x = 1,268.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.